Stability of the Mezard-Parisi solution for random manifolds
classification
❄️ cond-mat
keywords
breakingmanifoldsrandomreplicasymmetryassociatedcaseconstructed
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The eigenvalues of the Hessian associated with random manifolds are constructed for the general case of $R$ steps of replica symmetry breaking. For the Parisi limit $R\to\infty$ (continuum replica symmetry breaking) which is relevant for the manifold dimension $D<2$, they are shown to be non negative.
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